Strong \(G\)-fibrations and orbit projections

DOI10.1016/j.topol.2013.10.006zbMath1288.54018OpenAlexW2031299795MaRDI QIDQ392553

Alexander Bykov, Aura Lucina Kantún Montiel

Publication date: 14 January 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.10.006

zbMATH Keywords

\(G\)-ANR\(G\)-space\(G\)-fibration\(G\)-SSDR-maporbit mapstrong \(G\)-fibration

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Shape theory in general topology (54C56)

Related Items (5)

Unnamed Item ⋮ \(G\)-fibrations and twisted products ⋮ \(G\)-fibrant extensions and twisted products ⋮ Shape theory ⋮ Isovariant fibrant spaces

Cites Work

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• Fibrant extensions of free \(G\)-spaces
• Equivariant extension properties of coset spaces of locally compact groups and approximate slices
• The homogeneous space \(G/H\) as an equivariant fibrant space
• Compact group actions on equivariant absolute neighborhood retracts and their orbit spaces
• Orbit spaces of proper equivariant absolute extensors
• Equivariant strong shape
• Transformation groups
• Cech and Steenrod homotopy theories with applications to geometric topology
• Existence of a slice for an arbitrary compact transformation group
• Orbit projections and G-ANR-resolutions
• The classification of 𝐺-spaces

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